3x+2y=-11;7x-3y=28

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 3x+2y=-11;7x-3y=28 system of equations: 


  • /| 3*x+2*y+11 = 0| 7*x-(3*y)-28 = 0
  • We try to solve the equation: 3*x+2*y+11 = 0
  • 3*x+2*y+11 = 0 // - 3*x+11
  • 2*y = -(3*x+11) // : 2
  • y = (-(3*x+11))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*x-(3*((-(3*x+11))/2))-28 = 0| y = (-(3*x+11))/2
  • (-1*3*(-3*x-11))/2+7*x-28 = 0
  • 23/2*x-28+33/2 = 0
  • 23/2*x-23/2 = 0
  • 23/2*x-23/2 = 0 // + 23/2
  • 23/2*x = 23/2 // : 23/2
  • x = 23/2/23/2
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(3*x+11))/2: 
  • y = (-(1*3+11))/2
  • y = (-(3+11))/2
  • y = -14/2
  • y = -7
  • We get a system of equations:
  • /| y = -7| x = 1

 

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